Постройте график функции: y=|x|/x(x^2-x-2).

\[y = \frac{|x|}{x} \cdot (x^{2} - x - 2)\]

\[y = \left\{ \begin{matrix} x² - x - 2\ \ \ \ \ \ \\ - x^{2} + x + 2\ \ \\ \end{matrix} \right.\ \]

\[x > 0:\]

\[y = x^{2} - x - 2;\ \ a > 0;\ \ \]

\[ветви\ вверх.\]

\[x_{0} = \frac{1}{2};\ \ \ \ \ \ y_{0} = - 2\frac{1}{4};\]

\[\text{\ y}(0) = - 2.\]

\[x < 0:\]

\[y = - x^{2} + x + 2;\ \ a < 0;\ \ \]

\[ветви\ вниз.\]

\[x_{0} = \frac{1}{2};\ \ \ \ \ \ \ y_{0} = 2\frac{1}{4};\ \]

\[y(0) = 2.\]